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Finding the Third Proportional to 138,442.50 and 325,964.25

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Solution

The third proportional to 138,442.50 and 325,964.25 is: 767,486.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,442.50 : 325,964.25 = 325,964.25 : x
  2. Step 2: Convert to fraction form
    138,442.50/325,964.25 = 325,964.25/x
  3. Step 3: Cross multiply
    138,442.50x = 325,964.25 × 325,964.25
  4. Step 4: Simplify right side
    138,442.50x = 106,252,692,278.06
  5. Step 5: Solve for x
    x = 106,252,692,278.06/138,442.50
  6. Step 6: Final answer
    x = 767,486.08

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.